A device for repair surgery of cylindrical organs, particularly of ruptured tendons, is configured as a tubular sheath (T) made of a mesh of elastic fibers formed by electrospinning a biocompatible and biodegradable polymer. The tubular sheath has a Young elasticity modulus of about 0.1 to about 4 MPa and a strain at break of about 50 to about 1,000%, and it has a first wall surface and a second wall surface substantially parallel thereto, with said first wall surface being comparatively smooth (WS) and said second wall surface being comparatively rough (WR). According to the invention, the elastic fibers comprise first fibers consist of polymer in neat form and second fibers consist of polymer with an admixture of a therapeutic agent for stimulating regrowth processes of a predetermined cylindrical organ. The tubular sheath comprises a first tubular region adjacent to the first wall and a second tubular region adjacent to the second wall, said first tubular region being formed of said first fibers and said second tubular region being formed of said second fibers.